A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple cases

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157543Here we prove some special cases of the following conjecture: that the sum of the Betti numbers of a 1-connected elliptic space is greater than the total rank of its homotopy groups. Our main tool is Sullivan's minimal model.4 pagesAlgebraic Topology55N34; 55P62; 57T99A conjectured lower bound for the cohomological dimension of elliptic spaces. Some results in some simple casestext